Stabilni populacijski modeli

master's thesis

• Author: Jelena Svržnjak
• Mentor: Hrvoje Šikić (mentor)
• Committee member: Hrvoje Šikić (predsjednik povjerenstva)
• Committee member: Josip Tambača (član povjerenstva)
• Committee member: Miljenko Marušić (član povjerenstva)
• Committee member: Tomislav Pejković (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2018-09-25, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom diplomskom radu prikazana su svojstva stabilnog populacijskog modela te primjena istih u praksi. Nakon što je prikazana osnovna definicija stabilnog populacijskog modela izvedene su bitne jednadžbe koje ga karakteriziraju. Pomoću tih jednadžbi objašnjen je utjecaj promjena ključnih elemenata stabilne populacije na samu stabilnu populaciju. Nakon toga je prikazan niz metoda za procjenu demografskih značajki stvarnih populacija te njihove primjene na stabilnim i nestabilnim populacijama. Na kraju su prikazana bliska i daleka predviđanja, objavljena od strane Ujedinjenih naroda, koja koriste razne demografske modele koji uključuju i stabilni populacijski model kao i razne matematičke metode indirektne procjene demografskih značajki. Prikazana su predviđanja za svjetsku populaciju, populaciju nekih velikih regija svijeta i populaciju Hrvatske.

Abstract (english)

In this thesis, the characteristics of a stable population model are presented along with their application in practice. After the basic definition of a stable population model is presented, some important equations that characterize it are derived. Using these equations, the impact of changing the key elements of a stable population to the stable population itself is explained. After that, a number of methods for estimating the demographic characteristics of the real populations are presented and have been introduced to their application in stable and non-stable populations. Finally, close and far-reaching projections are presented, that are published by the United Nations, using various demographic models that include a stable population model as well as various mathematical methods of indirect estimation of demographic measures. Projections are presented for the world population, the population of some of the major regions of the world and the population of Croatia.

• Keywords: stabilni populacijski model; populacija; demografski modeli
• Keywords (english): stable population model; population; demographic model
• Language: croatian
• URN:NBN: urn:nbn:hr:217:231281
• Study programme: Title: Mathematical Statistics; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-06-19 11:29:11